743736 has 64 divisors (see below), whose sum is σ = 2246400. Its totient is φ = 200448.

The previous prime is 743731. The next prime is 743747. The reversal of 743736 is 637347.

743736 is nontrivially palindromic in base 11.

743736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743731) by changing a digit.

743736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3076 + ... + 3308.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2⁷⁴³⁷³⁶ is an apocalyptic number.

743736 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 743736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200).

743736 is an abundant number, since it is smaller than the sum of its proper divisors (1502664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

743736 is a wasteful number, since it uses less digits than its factorization.

743736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its digits is 10584, while the sum is 30.

The square root of 743736 is about 862.4012987003. The cubic root of 743736 is about 90.6023789755.

The spelling of 743736 in words is "seven hundred forty-three thousand, seven hundred thirty-six".